An alternating direction implicit fractional trapezoidal rule type difference scheme for the two-dimensional fractional evolution equation. - Hongbin Chen 002; Da Xu; Yulong Peng (Int. J. Comput. Math., 2015)

A second-order BDF compact difference scheme for fractional-order Volterra equation. - Hongbin Chen 002; Siqing Gan; Da Xu; Qiwen Liu (Int. J. Comput. Math., 2016)

A second-order accurate numerical method with graded meshes for an evolution equation with a weakly singular kernel. - Hongbin Chen 002; Da Xu; Jun Zhou 019 (J. Comput. Appl. Math., 2019)

An implicit difference scheme and algorithm implementation for the one-dimensional time-fractional Burgers equations. - Wenlin Qiu; Hongbin Chen 002; Xuan Zheng (Math. Comput. Simul., 2019)

A Crank-Nicolson-type finite-difference scheme and its algorithm implementation for a nonlinear partial integro-differential equation arising from viscoelasticity. - Xuan Zheng; Hongbin Chen 002; Wenlin Qiu (Comput. Appl. Math., 2020)

A formally second order BDF ADI difference scheme for the three-dimensional time-fractional heat equation. - Hongbin Chen 002; Da Xu; Jiliang Cao; Jun Zhou 019 (Int. J. Comput. Math., 2020)

A backward Euler difference scheme for the integro-differential equations with the multi-term kernels. - Shufang Hu; Wenlin Qiu; Hongbin Chen 002 (Int. J. Comput. Math., 2020)

A formally second-order BDF finite difference scheme for the integro-differential equations with the multi-term kernels. - Wenlin Qiu; Da Xu; Hongbin Chen 002 (Int. J. Comput. Math., 2020)

On explicit form of the FEM stiffness matrix for the integral fractional Laplacian on non-uniform meshes. - Hongbin Chen 002; Chang-Tao Sheng; Li-Lian Wang (Appl. Math. Lett., 2021)

FEM on nonuniform meshes for nonlocal Laplacian: Semi-analytic Implementation in One Dimension. - Hongbin Chen 002; Changtao Sheng; Li-Lian Wang (CoRR, 2024)

Finite difference discretization for one-dimensional higher-order integral fractional Laplacian and its application. - Huixian Wang; Hongbin Chen 002; Jun Zhou 019 (Math. Comput. Simul., 2024)

High-order fractional central difference method for multi-dimensional integral fractional Laplacian and its applications. - Huanfeng Yang; Hongbin Chen 002; Xiaoqiang Yue; Guangqing Long (Commun. Nonlinear Sci. Numer. Simul., 2025)